Acquisition Lesson Planning Form - ciclt.net 2Lesson 4 plan.pdfAcquisition Lesson Planning Form Plan...
Transcript of Acquisition Lesson Planning Form - ciclt.net 2Lesson 4 plan.pdfAcquisition Lesson Planning Form Plan...
Acquisition Lesson Planning Form Plan for the Concept, Topic, or Skill – Characteristics of Conic Sections
Key Standards addressed in this Lesson: MM3G2a,b,c Time allotted for this Lesson:
Standard: MM3G2a,b,c: Convert equations of conics by completing the square. Graph conic
sections, identifying fundamental characteristics. Write equations of conic sections given
appropriate information.
Essential Questions: How do I identify the characteristics of parabolas, ellipses, and hyperbolas
graphically and algebraically centered on the origin? How do I identify the characteristics of
parabolas, ellipses, and hyperbolas graphically and algebraically not centered on the origin?
How are discriminants used to classify conic sections?
Activating Strategies:
Getting to Know Conic sections Learning Task:
Acceleration/Previewing: (Key Vocabulary)
Circle, parabola, ellipse, hyperbola, radius, center, major axis, minor axis, asymptote, vertices,
foci, axis of symmetry, directrix, length of latus rectum
Teaching Strategies: Several graphic organizers included for ellipses, hyperbolas, and graphing the conic sections Guided notes for ellipses and hyperbolas worksheet
Task: Parabolas Learning Task Is it really an Ellipse? Learning Task Hyperbolas Learning Task
Distributed Guided Practice: Formula Sheet for conics included.
Extending/Refining Strategies: Let’s Go Fishing Culminating Task
Summarizing Strategies:
For identifying the conics: Name that Conic Game
How do you graph the four conic sections?
x
y
x
y
x
y
x
y
Hyperbola
(x – 3)2 _ y
2 = 1
16 4
Vertex
Axis of Symmetry
Center
Radius
Center
Length of Major Axis:
Length of Minor Axis:
Center
Vertices
Parabola 22( 3) 5y x
Circle 2 2( 3) ( 2) 20x y
Ellipse
x2 + (y + 2)
2 = 1
9 16
Parabola 2( )y a x h k
Circle 2 2 2( ) ( )x h y k r
Ellipse 2 2
2 2
( ) ( )1
x h y k
a b
Hyperbola 2 2
2 2
( ) ( )1
x h y k
a b
Graphic Organizer by Dale Graham and Linda Meyer
Thomas County Central High School; Thomasville GA
How do you graph the four conic sections?
x
y
x
y
x
y
x
y
Hyperbola
Vertex
Axis of Symmetry
Center
Radius
Center
Length of Major Axis:
Length of Minor Axis:
Center
Vertices
Parabola
Circle
Ellipse
Parabola 2( )y a x h k
Circle 2 2 2( ) ( )x h y k r
Ellipse 2 2
2 2
( ) ( )1
x h y k
a b
Hyperbola 2 2
2 2
( ) ( )1
x h y k
a b
Graphic Organizer by Dale Graham and Linda Meyer
Thomas County Central High School; Thomasville GA